<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2d1 20170631//EN" "JATS-journalpublishing1.dtd"> <ArticleSet> <Article> <Journal> <PublisherName>ijesm</PublisherName> <JournalTitle>International Journal of Engineering, Science and</JournalTitle> <PISSN>I</PISSN> <EISSN>S</EISSN> <Volume-Issue>Volume 6, Issue 7</Volume-Issue> <PartNumber/> <IssueTopic>Multidisciplinary</IssueTopic> <IssueLanguage>English</IssueLanguage> <Season>November 2017</Season> <SpecialIssue>N</SpecialIssue> <SupplementaryIssue>N</SupplementaryIssue> <IssueOA>Y</IssueOA> <PubDate> <Year>2017</Year> <Month>11</Month> <Day>1</Day> </PubDate> <ArticleType>Engineering, Science and Mathematics</ArticleType> <ArticleTitle>RELATIVELY DUALLY NORMAL ADL</ArticleTitle> <SubTitle/> <ArticleLanguage>English</ArticleLanguage> <ArticleOA>Y</ArticleOA> <FirstPage>1</FirstPage> <LastPage>11</LastPage> <AuthorList> <Author> <FirstName>S. Ravi Kumar1.</FirstName> <LastName/> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>N</CorrespondingAuthor> <ORCID/> <FirstName/> <LastName>G.C.Rao2</LastName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>Y</CorrespondingAuthor> <ORCID/> </Author> </AuthorList> <DOI/> <Abstract>From the definition of an ADL it can be observed that an ADL satisfies …..(*) but does not satisfy the dual of (*), namely Thus the lattice theoretic duality principle does not hold in ADLs. In this paper, we introduce the concept of relative dual annihilators in an ADL and study some of their properties. Also, we define a relatively Dually Normal ADL and we characterize a Relatively Dually Normal ADL in terms of relative dual annihilators.</Abstract> <AbstractLanguage>English</AbstractLanguage> <Keywords>AlmostDistributive Lattice(ADL); Relative dual annihilators; RelativelyDually Normal ADL</Keywords> <URLs> <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=3691&title=RELATIVELY DUALLY NORMAL ADL</Abstract> </URLs> <References> <ReferencesarticleTitle>References</ReferencesarticleTitle> <ReferencesfirstPage>16</ReferencesfirstPage> <ReferenceslastPage>19</ReferenceslastPage> <References/> </References> </Journal> </Article> </ArticleSet>